Transformations by Gail Rice
The apple below provides students with a visual representation and animation of how a figure is reflected and translated. I am having difficulty embedding the applet on this page so I made a jing video to introduce the the applet.
Video of Transformations Applet
Coefficients of Quadratic Equations: Al Williams
Quadratic equations of the form y=ax^2 + bx + c produce a parabola when graphed on the coordinate plane.
The applet below helps students understand what the coefficients a, b, and c are and how they affect the graph when changed.
There are "sliders" for each coefficient. Students can change the values of each and immediately see how the parabola changes.
This activity will allow you to investigate reflections of algebraic functions. In the left panel, under free objects, is the function f(x). Its reflections are listed under dependent objects. To see f(x) reflected in the x-axis, click on the circle just to the left of g(x) (click again to make g(x) disappear). To see f(x) reflected in the y-axis, click on the circle by h(x). To see f(x) rotated halfway about the origin , click on the circle by q(x).
To change the value of f(x), right click on f(x) in the left panel, and select object properties at the bottom of the menu. You will be able to enter a new equation for f in the value field. Exponents need to be entered by using ^ as on your calculator. For example x squared is entered as x^2.
Here is my GeoGebra applet. I could not figure out how to slide the points to change the values and see how it effects the lines etc. I'll keep playing
with it and try to figure it out, but here it is for now =) Amy Heleniak
Here is a Geogebra applet that I created on finding the midpoint of a line segment. I used Jing to cut and paste the key textbook section which applies to the midpoint formula illustrated in the applet. Enjoy!
The apple below provides students with a visual representation and animation of how a figure is reflected and translated. I am having difficulty embedding the applet on this page so I made a jing video to introduce the the applet.
Video of Transformations Applet
Coefficients of Quadratic Equations: Al Williams
Quadratic equations of the form y=ax^2 + bx + c produce a parabola when graphed on the coordinate plane.
The applet below helps students understand what the coefficients a, b, and c are and how they affect the graph when changed.
There are "sliders" for each coefficient. Students can change the values of each and immediately see how the parabola changes.
Geogebra applet for Ethan Lewis
Symmetry and Functions
This activity will allow you to investigate reflections of algebraic functions. In the left panel, under free objects, is the function f(x). Its reflections are listed under dependent objects. To see f(x) reflected in the x-axis, click on the circle just to the left of g(x) (click again to make g(x) disappear). To see f(x) reflected in the y-axis, click on the circle by h(x). To see f(x) rotated halfway about the origin , click on the circle by q(x).To change the value of f(x), right click on f(x) in the left panel, and select object properties at the bottom of the menu. You will be able to enter a new equation for f in the value field. Exponents need to be entered by using ^ as on your calculator. For example x squared is entered as x^2.
Here is my applet for geogebra - Peter Horn
Here is my GeoGebra applet. I could not figure out how to slide the points to change the values and see how it effects the lines etc. I'll keep playing
with it and try to figure it out, but here it is for now =) Amy Heleniak
http://www.screencast.com/t/MDI3YTE1M
http://www.screencast.com/t/NTY3YzU3Y
Doug Snyder's Geogebra Applet
Here is a Geogebra applet that I created on finding the midpoint of a line segment. I used Jing to cut and paste the key textbook section which applies to the midpoint formula illustrated in the applet. Enjoy!
Doug's Screencast